407989704 has 64 divisors (see below), whose sum is σ = 1045923840. Its totient is φ = 132560960.

The previous prime is 407989693. The next prime is 407989727.

It is a happy number.

407989704 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350227 + ... + 351389.

It is an arithmetic number, because the mean of its divisors is an integer number (16342560).

Almost surely, 2^407989704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407989704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522961920).

407989704 is an abundant number, since it is smaller than the sum of its proper divisors (637934136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407989704 is a wasteful number, since it uses less digits than its factorization.

407989704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 407989704 is about 20198.7550111387. The cubic root of 407989704 is about 741.6797149130.

The spelling of 407989704 in words is "four hundred seven million, nine hundred eighty-nine thousand, seven hundred four".